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Finding the Fourth Proportional to 152,838.40, 228,820.20 and 135,342.40

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Solution

The fourth proportional to 152,838.40, 228,820.20 and 135,342.40 is: 202,626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,838.40 : 228,820.20 = 135,342.40 : x
  2. Step 2: Convert to fraction form
    152,838.40/228,820.20 = 135,342.40/x
  3. Step 3: Cross multiply
    152,838.40x = 228,820.20 × 135,342.40
  4. Step 4: Simplify right side
    152,838.40x = 30,969,075,036.48
  5. Step 5: Solve for x
    x = 30,969,075,036.48/152,838.40
  6. Step 6: Final answer
    x = 202,626.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.